Question

Kieran’s wallet contains 7 bills: three $5 bills, two $10 bills, one $20 bill, and one $100 bill. if kieran pulls out two bills at random, what is the probability that he selects exactly two $5 bills?

Answer 1

Answer:

$\bf\textbf{Probability of selecting exactly two 5 bill }=\frac{1}{7}$

Step-by-step explanation:

Total number of bills in the wallet = 7

Total number of $5 bills in the wallet = 3

Total number of $10 bills in the wallet = 2

Total number of $20 bill in the wallet = 1

Total number of $100 bill in the wallet = 1

We need to find the probability that he selects exactly two $5 bills.

Number of favorable outcomes = 3

$\text{Probability of selecting one 5 bill }\frac{3}{7}$

$\text{Probability of selecting second 5 bill }\frac{2}{6}$

$\bf\textbf{Probability of selecting exactly two 5 bill = }\frac{3}{7}\times \frac{2}{6}=\frac{1}{7}$

Answer 2

There are 7 bills, and three $5 bills. So out of 7 bills, the chance of getting exactly two $5 bills will be 3/7 , as there are 3  $5 bills and all you need to do is selecting any 2 of them.